Yes, increase the constant term to make the circle larger.
Standard equation for a circle centred at the origin is x2 + y2 = r2 where r is the radius of the circle. If you increase the size of the circle then the radius must increase, so r2 will be larger. eg a circle of radius 2 has the equation x2 + y2 = 4, if the radius increases to 3 then the equation becomes x2 + y2 = 9
another, larger circle, perhaps. or a larger shape than the circle.
Find the area of both circles (A = πr2) and subtract the area of the larger circle from that of the smaller circle inside it.
We can look at total areas (and ignore units-they're all the same). The smaller circle has an area of 9pi, and the larger circle has an area of 25pi. The smaller circle is entirely inside of the larger circle. So anything not in the smaller circle is in the larger circle. 16pi square centimeters are part of only the larger circle. 16pi/25pi=.64. So the desired probability is .64.
In Geometry, pi lets us determine a circle's circumference if we know the circle's diameter (or radius, which is half the circle's diameter). We can determine this because the circumference is always pi (~3.14) times larger than the diameter of the circle. So, if the diameter of a circle is 1 foot, we know the circumference is 1 ft x pi which is approximately 3.14 feet. The formula for circumference is C = 2 x pi x r. Multiplying the 2 and the r (radius) in that equation gives you the length of the diameter of the circle, so the equation can be rewritten as C = pi x d which is what I used in the example in the last paragraph. Pi is also used to find the area of a circle by using the equation A=pi x r2. Calculus was used to create that formula which is beyond the scope of this explanation.
x2 + y2 = r2, the equation of a circle centered at the origin. If you want to make the circle larger, increase the radius length.
Standard equation for a circle centred at the origin is x2 + y2 = r2 where r is the radius of the circle. If you increase the size of the circle then the radius must increase, so r2 will be larger. eg a circle of radius 2 has the equation x2 + y2 = 4, if the radius increases to 3 then the equation becomes x2 + y2 = 9
depending on the circles equation..a larger circle is easier
another, larger circle, perhaps. or a larger shape than the circle.
We can look at total areas (and ignore units-they're all the same). The smaller circle has an area of 9pi, and the larger circle has an area of 25pi. The smaller circle is entirely inside of the larger circle. So anything not in the smaller circle is in the larger circle. 16pi square centimeters are part of only the larger circle. 16pi/25pi=.64. So the desired probability is .64.
Find the area of both circles (A = πr2) and subtract the area of the larger circle from that of the smaller circle inside it.
Generally, Pi is used to represent the rate of change of the circumference of a circle as it's diameter increases. This can be shown using the equation [circumference = Pi * diameter], that is the circumference of a circle is always Pi times larger than it's diameter.
Folds increase the surface area to volume ratio.Imagine a circle with folds all around the edge and another circle the same size with a flat edge. Both circles have the same volume, but the one with the folds has a much larger surface area.
The circumference of the circle is larger than the perimeter of the rectangle.
The area of a 5-inch circle is: 19.6 square inches.The area of a 4-inch circle is: 12.6 square inches.The area of the 5-inch circle is 55.6% larger than the 4-inch circle
In Geometry, pi lets us determine a circle's circumference if we know the circle's diameter (or radius, which is half the circle's diameter). We can determine this because the circumference is always pi (~3.14) times larger than the diameter of the circle. So, if the diameter of a circle is 1 foot, we know the circumference is 1 ft x pi which is approximately 3.14 feet. The formula for circumference is C = 2 x pi x r. Multiplying the 2 and the r (radius) in that equation gives you the length of the diameter of the circle, so the equation can be rewritten as C = pi x d which is what I used in the example in the last paragraph. Pi is also used to find the area of a circle by using the equation A=pi x r2. Calculus was used to create that formula which is beyond the scope of this explanation.
An annulus. Area = pi (R2 - r2) when R is radius of larger circle and r is radius of smaller circle.